1020122220121 has 15 divisors (see below), whose sum is σ = 1055130186165. Its totient is φ = 986275741500.

The previous prime is 1020122220107. The next prime is 1020122220167. The reversal of 1020122220121 is 1210222210201.

It is a happy number.

The square root of 1020122220121 is 1010011.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1020122220121 - 2¹⁵ = 1020122187353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020122220095 and 1020122220104.

It is not an unprimeable number, because it can be changed into a prime (1020122223121) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 970620046 + ... + 970621096.

It is an arithmetic number, because the mean of its divisors is an integer number (70342012411).

Almost surely, 2^{1020122220121} is an apocalyptic number.

1020122220121 is the 1010011-st square number.

1020122220121 is the 505006-th centered octagonal number.

It is an amenable number.

1020122220121 is a deficient number, since it is larger than the sum of its proper divisors (35007966044).

1020122220121 is an frugal number, since it uses more digits than its factorization.

1020122220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Multiplying 1020122220121 by its sum of digits (16), we get a square (16321955521936 = 4040044²).

Multiplying 1020122220121 by its product of nonzero digits (64), we get a square (65287822087744 = 8080088²).

Adding to 1020122220121 its reverse (1210222210201), we get a palindrome (2230344430322).

The spelling of 1020122220121 in words is "one trillion, twenty billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twenty-one".